Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bs |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
776654438400 = 214 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9201,-333999] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2200:1] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
3.9089049731943 |
L(r)(E,1)/r! |
Ω |
0.48772286701531 |
Real period |
R |
4.0073013155149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320z2 4080o2 48960fc2 81600ht2 |
Quadratic twists by: -4 8 -3 5 |